## Abstract

In this paper, we prove the Hyers-Ulam stability of the functional equation f(x + y, z + w) + f(x + σ(y),z + τ(w)) = 2f(x, z) + 2f(y, w), where σ, τ are involutions.

Show Summary Details# Approximate property of a functional equation with a general involution

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## Abstract

## References

## About the article

More options …# Demonstratio Mathematica

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Editor-in-Chief: Vetro, Calogero

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CiteScore 2018: 0.47

SCImago Journal Rank (SJR) 2018: 0.265

Source Normalized Impact per Paper (SNIP) 2018: 0.714

Mathematical Citation Quotient (MCQ) 2018: 0.17

ICV 2018: 121.16

In this paper, we prove the Hyers-Ulam stability of the functional equation f(x + y, z + w) + f(x + σ(y),z + τ(w)) = 2f(x, z) + 2f(y, w), where σ, τ are involutions.

Keywords: approximation; involution; Banach space

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**Received**: 2018-05-17

**Accepted**: 2018-09-03

**Published Online**: 2018-11-20

**Published in Print**: 2018-11-01

**Citation Information: **Demonstratio Mathematica, Volume 51, Issue 1, Pages 304–308, ISSN (Online) 2391-4661, DOI: https://doi.org/10.1515/dema-2018-0021.

© by Won-Gil Park, Jae-Hyeong Bae, published by De Gruyter. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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